Oblique Spatial Dispersive Shock Waves in Nonlinear Schrödinger Flows

DOI10.1137/16M108882XzbMath1376.37128arXiv1608.02632MaRDI QIDQ5348492

Gennady A. El, A. M. Kamchatnov, M. A. Hoefer

Publication date: 18 August 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.02632

zbMATH Keywords

nonlinear Schrödinger equationsolitonWhitham theorydispersive shock wave

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Shock waves and blast waves in fluid mechanics (76L05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (6)

Complete classification of solutions to the Riemann initial value problem for the Hirota equation with weak dispersion term ⋮ Motion of dispersive shock edges in nonlinear pulse evolution ⋮ On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation ⋮ Dispersive shock waves governed by the Whitham equation and their stability ⋮ Theory of quasi-simple dispersive shock waves and number of solitons evolved from a nonlinear pulse ⋮ Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure

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